The height of a punted football can be modeled with the quadratic functions h= -0.01x^2+1.18x+2. The...

The height of a punted football can be modeled with the quadratic functions h= -0.01x^2+1.18x+2. The horizontal distance in feet from the point of impact with the kicker’s foot is x, and h is the height of the football in feet. How far has the ball traveled when it reaches a height of 6 ft? Explain why there is more than one answer.

Expert Solution

Mathematical explanation of 2 answers

Since the distance has been modelled as quadratic equation of height, it means there has to be 2 real solutions as the distance. Unless the height achieved is the maximum, there will always be 2 answers if there are real solution.

Game explanation of 2 answers

Every time football is shot (or hit), it goes to a high point and then come back down.

There are 2 points, for which height is equal situated either side of mid point (i.e. heighest point).

milcah answered 1 year ago

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